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Diffstat (limited to 'app/vectors/gimpbezierstroke.c')
-rw-r--r-- | app/vectors/gimpbezierstroke.c | 2309 |
1 files changed, 2309 insertions, 0 deletions
diff --git a/app/vectors/gimpbezierstroke.c b/app/vectors/gimpbezierstroke.c new file mode 100644 index 0000000..3cfe735 --- /dev/null +++ b/app/vectors/gimpbezierstroke.c @@ -0,0 +1,2309 @@ +/* GIMP - The GNU Image Manipulation Program + * Copyright (C) 1995 Spencer Kimball and Peter Mattis + * + * gimpbezierstroke.c + * Copyright (C) 2002 Simon Budig <simon@gimp.org> + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <https://www.gnu.org/licenses/>. + */ + +#include "config.h" + +#include <glib-object.h> +#include <cairo.h> + +#include "libgimpmath/gimpmath.h" + +#include "vectors-types.h" + +#include "core/gimp-transform-utils.h" +#include "core/gimpbezierdesc.h" +#include "core/gimpcoords.h" +#include "core/gimpcoords-interpolate.h" + +#include "gimpanchor.h" +#include "gimpbezierstroke.h" + + +/* local prototypes */ + +static gdouble + gimp_bezier_stroke_nearest_point_get (GimpStroke *stroke, + const GimpCoords *coord, + gdouble precision, + GimpCoords *ret_point, + GimpAnchor **ret_segment_start, + GimpAnchor **ret_segment_end, + gdouble *ret_pos); +static gdouble + gimp_bezier_stroke_segment_nearest_point_get + (const GimpCoords *beziercoords, + const GimpCoords *coord, + gdouble precision, + GimpCoords *ret_point, + gdouble *ret_pos, + gint depth); +static gdouble + gimp_bezier_stroke_nearest_tangent_get (GimpStroke *stroke, + const GimpCoords *coord1, + const GimpCoords *coord2, + gdouble precision, + GimpCoords *nearest, + GimpAnchor **ret_segment_start, + GimpAnchor **ret_segment_end, + gdouble *ret_pos); +static gdouble + gimp_bezier_stroke_segment_nearest_tangent_get + (const GimpCoords *beziercoords, + const GimpCoords *coord1, + const GimpCoords *coord2, + gdouble precision, + GimpCoords *ret_point, + gdouble *ret_pos); +static void + gimp_bezier_stroke_anchor_move_relative + (GimpStroke *stroke, + GimpAnchor *anchor, + const GimpCoords *deltacoord, + GimpAnchorFeatureType feature); +static void + gimp_bezier_stroke_anchor_move_absolute + (GimpStroke *stroke, + GimpAnchor *anchor, + const GimpCoords *coord, + GimpAnchorFeatureType feature); +static void + gimp_bezier_stroke_anchor_convert (GimpStroke *stroke, + GimpAnchor *anchor, + GimpAnchorFeatureType feature); +static void + gimp_bezier_stroke_anchor_delete (GimpStroke *stroke, + GimpAnchor *anchor); +static gboolean + gimp_bezier_stroke_point_is_movable (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position); +static void + gimp_bezier_stroke_point_move_relative (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position, + const GimpCoords *deltacoord, + GimpAnchorFeatureType feature); +static void + gimp_bezier_stroke_point_move_absolute (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position, + const GimpCoords *coord, + GimpAnchorFeatureType feature); + +static void gimp_bezier_stroke_close (GimpStroke *stroke); + +static GimpStroke * + gimp_bezier_stroke_open (GimpStroke *stroke, + GimpAnchor *end_anchor); +static gboolean + gimp_bezier_stroke_anchor_is_insertable + (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position); +static GimpAnchor * + gimp_bezier_stroke_anchor_insert (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position); +static gboolean + gimp_bezier_stroke_is_extendable (GimpStroke *stroke, + GimpAnchor *neighbor); +static gboolean + gimp_bezier_stroke_connect_stroke (GimpStroke *stroke, + GimpAnchor *anchor, + GimpStroke *extension, + GimpAnchor *neighbor); +static GArray * + gimp_bezier_stroke_interpolate (GimpStroke *stroke, + gdouble precision, + gboolean *closed); +static GimpBezierDesc * + gimp_bezier_stroke_make_bezier (GimpStroke *stroke); +static void gimp_bezier_stroke_transform (GimpStroke *stroke, + const GimpMatrix3 *matrix, + GQueue *ret_strokes); + +static void gimp_bezier_stroke_finalize (GObject *object); + + +static GList * gimp_bezier_stroke_get_anchor_listitem + (GList *list); + + +G_DEFINE_TYPE (GimpBezierStroke, gimp_bezier_stroke, GIMP_TYPE_STROKE) + +#define parent_class gimp_bezier_stroke_parent_class + + +static void +gimp_bezier_stroke_class_init (GimpBezierStrokeClass *klass) +{ + GObjectClass *object_class = G_OBJECT_CLASS (klass); + GimpStrokeClass *stroke_class = GIMP_STROKE_CLASS (klass); + + object_class->finalize = gimp_bezier_stroke_finalize; + + stroke_class->nearest_point_get = gimp_bezier_stroke_nearest_point_get; + stroke_class->nearest_tangent_get = gimp_bezier_stroke_nearest_tangent_get; + stroke_class->nearest_intersection_get = NULL; + stroke_class->anchor_move_relative = gimp_bezier_stroke_anchor_move_relative; + stroke_class->anchor_move_absolute = gimp_bezier_stroke_anchor_move_absolute; + stroke_class->anchor_convert = gimp_bezier_stroke_anchor_convert; + stroke_class->anchor_delete = gimp_bezier_stroke_anchor_delete; + stroke_class->point_is_movable = gimp_bezier_stroke_point_is_movable; + stroke_class->point_move_relative = gimp_bezier_stroke_point_move_relative; + stroke_class->point_move_absolute = gimp_bezier_stroke_point_move_absolute; + stroke_class->close = gimp_bezier_stroke_close; + stroke_class->open = gimp_bezier_stroke_open; + stroke_class->anchor_is_insertable = gimp_bezier_stroke_anchor_is_insertable; + stroke_class->anchor_insert = gimp_bezier_stroke_anchor_insert; + stroke_class->is_extendable = gimp_bezier_stroke_is_extendable; + stroke_class->extend = gimp_bezier_stroke_extend; + stroke_class->connect_stroke = gimp_bezier_stroke_connect_stroke; + stroke_class->interpolate = gimp_bezier_stroke_interpolate; + stroke_class->make_bezier = gimp_bezier_stroke_make_bezier; + stroke_class->transform = gimp_bezier_stroke_transform; +} + +static void +gimp_bezier_stroke_init (GimpBezierStroke *stroke) +{ +} + +static void +gimp_bezier_stroke_finalize (GObject *object) +{ + G_OBJECT_CLASS (parent_class)->finalize (object); +} + + +/* Bezier specific functions */ + +GimpStroke * +gimp_bezier_stroke_new (void) +{ + return g_object_new (GIMP_TYPE_BEZIER_STROKE, NULL); +} + + +GimpStroke * +gimp_bezier_stroke_new_from_coords (const GimpCoords *coords, + gint n_coords, + gboolean closed) +{ + GimpStroke *stroke; + GimpAnchor *last_anchor; + gint count; + + g_return_val_if_fail (coords != NULL, NULL); + g_return_val_if_fail (n_coords >= 3, NULL); + g_return_val_if_fail ((n_coords % 3) == 0, NULL); + + stroke = gimp_bezier_stroke_new (); + + last_anchor = NULL; + + for (count = 0; count < n_coords; count++) + last_anchor = gimp_bezier_stroke_extend (stroke, + &coords[count], + last_anchor, + EXTEND_SIMPLE); + + if (closed) + gimp_stroke_close (stroke); + + return stroke; +} + +static void +gimp_bezier_stroke_anchor_delete (GimpStroke *stroke, + GimpAnchor *anchor) +{ + GList *list; + GList *list2; + gint i; + + /* Anchors always are surrounded by two handles that have to + * be deleted too + */ + + list2 = g_queue_find (stroke->anchors, anchor); + list = g_list_previous (list2); + + for (i = 0; i < 3; i++) + { + g_return_if_fail (list != NULL); + + list2 = g_list_next (list); + gimp_anchor_free (list->data); + g_queue_delete_link (stroke->anchors, list); + list = list2; + } +} + +static GimpStroke * +gimp_bezier_stroke_open (GimpStroke *stroke, + GimpAnchor *end_anchor) +{ + GList *list; + GList *list2; + GimpStroke *new_stroke = NULL; + + list = g_queue_find (stroke->anchors, end_anchor); + + g_return_val_if_fail (list != NULL && list->next != NULL, NULL); + + list = g_list_next (list); /* protect the handle... */ + + list2 = list->next; + list->next = NULL; + + if (list2 != NULL) + { + GList *tail = stroke->anchors->tail; + + stroke->anchors->tail = list; + stroke->anchors->length -= g_list_length (list2); + + list2->prev = NULL; + + if (stroke->closed) + { + GList *l; + + for (l = tail; l; l = g_list_previous (l)) + g_queue_push_head (stroke->anchors, l->data); + + g_list_free (list2); + } + else + { + new_stroke = gimp_bezier_stroke_new (); + new_stroke->anchors->head = list2; + new_stroke->anchors->tail = g_list_last (list2); + new_stroke->anchors->length = g_list_length (list2); + } + } + + stroke->closed = FALSE; + g_object_notify (G_OBJECT (stroke), "closed"); + + return new_stroke; +} + +static gboolean +gimp_bezier_stroke_anchor_is_insertable (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position) +{ + return (g_queue_find (stroke->anchors, predec) != NULL); +} + + +static GimpAnchor * +gimp_bezier_stroke_anchor_insert (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position) +{ + GList *segment_start; + GList *list; + GList *list2; + GimpCoords subdivided[8]; + GimpCoords beziercoords[4]; + gint i; + + segment_start = g_queue_find (stroke->anchors, predec); + + if (! segment_start) + return NULL; + + list = segment_start; + + for (i = 0; i <= 3; i++) + { + beziercoords[i] = GIMP_ANCHOR (list->data)->position; + list = g_list_next (list); + if (! list) + list = stroke->anchors->head; + } + + subdivided[0] = beziercoords[0]; + subdivided[6] = beziercoords[3]; + + gimp_coords_mix (1-position, &(beziercoords[0]), + position, &(beziercoords[1]), + &(subdivided[1])); + + gimp_coords_mix (1-position, &(beziercoords[1]), + position, &(beziercoords[2]), + &(subdivided[7])); + + gimp_coords_mix (1-position, &(beziercoords[2]), + position, &(beziercoords[3]), + &(subdivided[5])); + + gimp_coords_mix (1-position, &(subdivided[1]), + position, &(subdivided[7]), + &(subdivided[2])); + + gimp_coords_mix (1-position, &(subdivided[7]), + position, &(subdivided[5]), + &(subdivided[4])); + + gimp_coords_mix (1-position, &(subdivided[2]), + position, &(subdivided[4]), + &(subdivided[3])); + + /* subdivided 0-6 contains the bezier segment subdivided at <position> */ + + list = segment_start; + + for (i = 0; i <= 6; i++) + { + if (i >= 2 && i <= 4) + { + list2 = g_list_append (NULL, + gimp_anchor_new ((i == 3 ? + GIMP_ANCHOR_ANCHOR: + GIMP_ANCHOR_CONTROL), + &(subdivided[i]))); + /* insert it *before* list manually. */ + list2->next = list; + list2->prev = list->prev; + if (list->prev) + list->prev->next = list2; + list->prev = list2; + + list = list2; + + if (i == 3) + segment_start = list; + } + else + { + GIMP_ANCHOR (list->data)->position = subdivided[i]; + } + + list = g_list_next (list); + if (! list) + list = stroke->anchors->head; + } + + stroke->anchors->head = g_list_first (list); + stroke->anchors->tail = g_list_last (list); + stroke->anchors->length += 3; + + return GIMP_ANCHOR (segment_start->data); +} + + +static gboolean +gimp_bezier_stroke_point_is_movable (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position) +{ + return (g_queue_find (stroke->anchors, predec) != NULL); +} + + +static void +gimp_bezier_stroke_point_move_relative (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position, + const GimpCoords *deltacoord, + GimpAnchorFeatureType feature) +{ + GimpCoords offsetcoords[2]; + GList *segment_start; + GList *list; + gint i; + gdouble feel_good; + + segment_start = g_queue_find (stroke->anchors, predec); + + g_return_if_fail (segment_start != NULL); + + /* dragging close to endpoints just moves the handle related to + * the endpoint. Just make sure that feel_good is in the range from + * 0 to 1. The 1.0 / 6.0 and 5.0 / 6.0 are duplicated in + * tools/gimpvectortool.c. + */ + if (position <= 1.0 / 6.0) + feel_good = 0; + else if (position <= 0.5) + feel_good = (pow((6 * position - 1) / 2.0, 3)) / 2; + else if (position <= 5.0 / 6.0) + feel_good = (1 - pow((6 * (1-position) - 1) / 2.0, 3)) / 2 + 0.5; + else + feel_good = 1; + + gimp_coords_scale ((1-feel_good)/(3*position* + (1-position)*(1-position)), + deltacoord, + &(offsetcoords[0])); + gimp_coords_scale (feel_good/(3*position*position*(1-position)), + deltacoord, + &(offsetcoords[1])); + + list = segment_start; + list = g_list_next (list); + if (! list) + list = stroke->anchors->head; + + for (i = 0; i <= 1; i++) + { + gimp_stroke_anchor_move_relative (stroke, GIMP_ANCHOR (list->data), + &(offsetcoords[i]), feature); + list = g_list_next (list); + if (! list) + list = stroke->anchors->head; + } +} + + +static void +gimp_bezier_stroke_point_move_absolute (GimpStroke *stroke, + GimpAnchor *predec, + gdouble position, + const GimpCoords *coord, + GimpAnchorFeatureType feature) +{ + GimpCoords deltacoord; + GimpCoords tmp1, tmp2, abs_pos; + GimpCoords beziercoords[4]; + GList *segment_start; + GList *list; + gint i; + + segment_start = g_queue_find (stroke->anchors, predec); + + g_return_if_fail (segment_start != NULL); + + list = segment_start; + + for (i = 0; i <= 3; i++) + { + beziercoords[i] = GIMP_ANCHOR (list->data)->position; + list = g_list_next (list); + if (! list) + list = stroke->anchors->head; + } + + gimp_coords_mix ((1-position)*(1-position)*(1-position), &(beziercoords[0]), + 3*(1-position)*(1-position)*position, &(beziercoords[1]), + &tmp1); + gimp_coords_mix (3*(1-position)*position*position, &(beziercoords[2]), + position*position*position, &(beziercoords[3]), + &tmp2); + gimp_coords_add (&tmp1, &tmp2, &abs_pos); + + gimp_coords_difference (coord, &abs_pos, &deltacoord); + + gimp_bezier_stroke_point_move_relative (stroke, predec, position, + &deltacoord, feature); +} + +static void +gimp_bezier_stroke_close (GimpStroke *stroke) +{ + GList *start; + GList *end; + GimpAnchor *anchor; + + start = stroke->anchors->head; + end = stroke->anchors->tail; + + g_return_if_fail (start->next != NULL && end->prev != NULL); + + if (start->next != end->prev) + { + if (gimp_coords_equal (&(GIMP_ANCHOR (start->next->data)->position), + &(GIMP_ANCHOR (start->data)->position)) && + gimp_coords_equal (&(GIMP_ANCHOR (start->data)->position), + &(GIMP_ANCHOR (end->data)->position)) && + gimp_coords_equal (&(GIMP_ANCHOR (end->data)->position), + &(GIMP_ANCHOR (end->prev->data)->position))) + { + /* redundant segment */ + + gimp_anchor_free (stroke->anchors->tail->data); + g_queue_delete_link (stroke->anchors, stroke->anchors->tail); + + gimp_anchor_free (stroke->anchors->tail->data); + g_queue_delete_link (stroke->anchors, stroke->anchors->tail); + + anchor = stroke->anchors->tail->data; + g_queue_delete_link (stroke->anchors, stroke->anchors->tail); + + gimp_anchor_free (stroke->anchors->head->data); + stroke->anchors->head->data = anchor; + } + } + + GIMP_STROKE_CLASS (parent_class)->close (stroke); +} + +static gdouble +gimp_bezier_stroke_nearest_point_get (GimpStroke *stroke, + const GimpCoords *coord, + gdouble precision, + GimpCoords *ret_point, + GimpAnchor **ret_segment_start, + GimpAnchor **ret_segment_end, + gdouble *ret_pos) +{ + gdouble min_dist, dist, pos; + GimpCoords point = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; + GimpCoords segmentcoords[4]; + GList *anchorlist; + GimpAnchor *segment_start; + GimpAnchor *segment_end = NULL; + GimpAnchor *anchor; + gint count; + + if (g_queue_is_empty (stroke->anchors)) + return -1.0; + + count = 0; + min_dist = -1; + pos = 0; + + for (anchorlist = stroke->anchors->head; + GIMP_ANCHOR (anchorlist->data)->type != GIMP_ANCHOR_ANCHOR; + anchorlist = g_list_next (anchorlist)); + + segment_start = anchorlist->data; + + for ( ; anchorlist; anchorlist = g_list_next (anchorlist)) + { + anchor = anchorlist->data; + + segmentcoords[count] = anchor->position; + count++; + + if (count == 4) + { + segment_end = anchorlist->data; + dist = gimp_bezier_stroke_segment_nearest_point_get (segmentcoords, + coord, precision, + &point, &pos, + 10); + + if (dist < min_dist || min_dist < 0) + { + min_dist = dist; + + if (ret_pos) + *ret_pos = pos; + if (ret_point) + *ret_point = point; + if (ret_segment_start) + *ret_segment_start = segment_start; + if (ret_segment_end) + *ret_segment_end = segment_end; + } + + segment_start = anchorlist->data; + segmentcoords[0] = segmentcoords[3]; + count = 1; + } + } + + if (stroke->closed && stroke->anchors->head) + { + anchorlist = stroke->anchors->head; + + while (count < 3) + { + segmentcoords[count] = GIMP_ANCHOR (anchorlist->data)->position; + count++; + } + + anchorlist = g_list_next (anchorlist); + + if (anchorlist) + { + segment_end = GIMP_ANCHOR (anchorlist->data); + segmentcoords[3] = segment_end->position; + } + + dist = gimp_bezier_stroke_segment_nearest_point_get (segmentcoords, + coord, precision, + &point, &pos, + 10); + + if (dist < min_dist || min_dist < 0) + { + min_dist = dist; + + if (ret_pos) + *ret_pos = pos; + if (ret_point) + *ret_point = point; + if (ret_segment_start) + *ret_segment_start = segment_start; + if (ret_segment_end) + *ret_segment_end = segment_end; + } + } + + return min_dist; +} + + +static gdouble +gimp_bezier_stroke_segment_nearest_point_get (const GimpCoords *beziercoords, + const GimpCoords *coord, + gdouble precision, + GimpCoords *ret_point, + gdouble *ret_pos, + gint depth) +{ + /* + * beziercoords has to contain four GimpCoords with the four control points + * of the bezier segment. We subdivide it at the parameter 0.5. + */ + + GimpCoords subdivided[8]; + gdouble dist1, dist2; + GimpCoords point1, point2; + gdouble pos1, pos2; + + gimp_coords_difference (&beziercoords[1], &beziercoords[0], &point1); + gimp_coords_difference (&beziercoords[3], &beziercoords[2], &point2); + + if (! depth || (gimp_coords_bezier_is_straight (beziercoords, precision) && + gimp_coords_length_squared (&point1) < precision && + gimp_coords_length_squared (&point2) < precision)) + { + GimpCoords line, dcoord; + gdouble length2, scalar; + gint i; + + gimp_coords_difference (&(beziercoords[3]), + &(beziercoords[0]), + &line); + + gimp_coords_difference (coord, + &(beziercoords[0]), + &dcoord); + + length2 = gimp_coords_scalarprod (&line, &line); + scalar = gimp_coords_scalarprod (&line, &dcoord) / length2; + + scalar = CLAMP (scalar, 0.0, 1.0); + + /* lines look the same as bezier curves where the handles + * sit on the anchors, however, they are parametrized + * differently. Hence we have to do some weird approximation. */ + + pos1 = pos2 = 0.5; + + for (i = 0; i <= 15; i++) + { + pos2 *= 0.5; + + if (3 * pos1 * pos1 * (1-pos1) + pos1 * pos1 * pos1 < scalar) + pos1 += pos2; + else + pos1 -= pos2; + } + + *ret_pos = pos1; + + gimp_coords_mix (1.0, &(beziercoords[0]), + scalar, &line, + ret_point); + + gimp_coords_difference (coord, ret_point, &dcoord); + + return gimp_coords_length (&dcoord); + } + + /* ok, we have to subdivide */ + + subdivided[0] = beziercoords[0]; + subdivided[6] = beziercoords[3]; + + /* if (!depth) g_printerr ("Hit recursion depth limit!\n"); */ + + gimp_coords_average (&(beziercoords[0]), &(beziercoords[1]), + &(subdivided[1])); + + gimp_coords_average (&(beziercoords[1]), &(beziercoords[2]), + &(subdivided[7])); + + gimp_coords_average (&(beziercoords[2]), &(beziercoords[3]), + &(subdivided[5])); + + gimp_coords_average (&(subdivided[1]), &(subdivided[7]), + &(subdivided[2])); + + gimp_coords_average (&(subdivided[7]), &(subdivided[5]), + &(subdivided[4])); + + gimp_coords_average (&(subdivided[2]), &(subdivided[4]), + &(subdivided[3])); + + /* + * We now have the coordinates of the two bezier segments in + * subdivided [0-3] and subdivided [3-6] + */ + + dist1 = gimp_bezier_stroke_segment_nearest_point_get (&(subdivided[0]), + coord, precision, + &point1, &pos1, + depth - 1); + + dist2 = gimp_bezier_stroke_segment_nearest_point_get (&(subdivided[3]), + coord, precision, + &point2, &pos2, + depth - 1); + + if (dist1 <= dist2) + { + *ret_point = point1; + *ret_pos = 0.5 * pos1; + return dist1; + } + else + { + *ret_point = point2; + *ret_pos = 0.5 + 0.5 * pos2; + return dist2; + } +} + + +static gdouble +gimp_bezier_stroke_nearest_tangent_get (GimpStroke *stroke, + const GimpCoords *coord1, + const GimpCoords *coord2, + gdouble precision, + GimpCoords *nearest, + GimpAnchor **ret_segment_start, + GimpAnchor **ret_segment_end, + gdouble *ret_pos) +{ + gdouble min_dist, dist, pos; + GimpCoords point; + GimpCoords segmentcoords[4]; + GList *anchorlist; + GimpAnchor *segment_start; + GimpAnchor *segment_end = NULL; + GimpAnchor *anchor; + gint count; + + if (g_queue_is_empty (stroke->anchors)) + return -1.0; + + count = 0; + min_dist = -1; + + for (anchorlist = stroke->anchors->head; + GIMP_ANCHOR (anchorlist->data)->type != GIMP_ANCHOR_ANCHOR; + anchorlist = g_list_next (anchorlist)); + + segment_start = anchorlist->data; + + for ( ; anchorlist; anchorlist = g_list_next (anchorlist)) + { + anchor = anchorlist->data; + + segmentcoords[count] = anchor->position; + count++; + + if (count == 4) + { + segment_end = anchorlist->data; + dist = gimp_bezier_stroke_segment_nearest_tangent_get (segmentcoords, + coord1, coord2, + precision, + &point, &pos); + + if (dist >= 0 && (dist < min_dist || min_dist < 0)) + { + min_dist = dist; + + if (ret_pos) + *ret_pos = pos; + if (nearest) + *nearest = point; + if (ret_segment_start) + *ret_segment_start = segment_start; + if (ret_segment_end) + *ret_segment_end = segment_end; + } + + segment_start = anchorlist->data; + segmentcoords[0] = segmentcoords[3]; + count = 1; + } + } + + if (stroke->closed && ! g_queue_is_empty (stroke->anchors)) + { + anchorlist = stroke->anchors->head; + + while (count < 3) + { + segmentcoords[count] = GIMP_ANCHOR (anchorlist->data)->position; + count++; + } + + anchorlist = g_list_next (anchorlist); + + if (anchorlist) + { + segment_end = GIMP_ANCHOR (anchorlist->data); + segmentcoords[3] = segment_end->position; + } + + dist = gimp_bezier_stroke_segment_nearest_tangent_get (segmentcoords, + coord1, coord2, + precision, + &point, &pos); + + if (dist >= 0 && (dist < min_dist || min_dist < 0)) + { + min_dist = dist; + + if (ret_pos) + *ret_pos = pos; + if (nearest) + *nearest = point; + if (ret_segment_start) + *ret_segment_start = segment_start; + if (ret_segment_end) + *ret_segment_end = segment_end; + } + } + + return min_dist; +} + +static gdouble +gimp_bezier_stroke_segment_nearest_tangent_get (const GimpCoords *beziercoords, + const GimpCoords *coord1, + const GimpCoords *coord2, + gdouble precision, + GimpCoords *ret_point, + gdouble *ret_pos) +{ + GArray *ret_coords; + GArray *ret_params; + GimpCoords dir, line, dcoord, min_point; + gdouble min_dist = -1; + gdouble dist, length2, scalar, ori, ori2; + gint i; + + gimp_coords_difference (coord2, coord1, &line); + + ret_coords = g_array_new (FALSE, FALSE, sizeof (GimpCoords)); + ret_params = g_array_new (FALSE, FALSE, sizeof (gdouble)); + + g_printerr ("(%.2f, %.2f)-(%.2f,%.2f): ", coord1->x, coord1->y, + coord2->x, coord2->y); + + gimp_coords_interpolate_bezier (beziercoords, precision, + ret_coords, ret_params); + + g_return_val_if_fail (ret_coords->len == ret_params->len, -1.0); + + if (ret_coords->len < 2) + return -1; + + gimp_coords_difference (&g_array_index (ret_coords, GimpCoords, 1), + &g_array_index (ret_coords, GimpCoords, 0), + &dir); + ori = dir.x * line.y - dir.y * line.x; + + for (i = 2; i < ret_coords->len; i++) + { + gimp_coords_difference (&g_array_index (ret_coords, GimpCoords, i), + &g_array_index (ret_coords, GimpCoords, i-1), + &dir); + ori2 = dir.x * line.y - dir.y * line.x; + + if (ori * ori2 <= 0) + { + gimp_coords_difference (&g_array_index (ret_coords, GimpCoords, i), + coord1, + &dcoord); + + length2 = gimp_coords_scalarprod (&line, &line); + scalar = gimp_coords_scalarprod (&line, &dcoord) / length2; + + if (scalar >= 0 && scalar <= 1) + { + gimp_coords_mix (1.0, coord1, + scalar, &line, + &min_point); + gimp_coords_difference (&min_point, + &g_array_index (ret_coords, GimpCoords, i), + &dcoord); + dist = gimp_coords_length (&dcoord); + + if (dist < min_dist || min_dist < 0) + { + min_dist = dist; + *ret_point = g_array_index (ret_coords, GimpCoords, i); + *ret_pos = g_array_index (ret_params, gdouble, i); + } + } + } + ori = ori2; + } + + if (min_dist < 0) + g_printerr ("-\n"); + else + g_printerr ("%f: (%.2f, %.2f) /%.3f/\n", min_dist, + (*ret_point).x, (*ret_point).y, *ret_pos); + + g_array_free (ret_coords, TRUE); + g_array_free (ret_params, TRUE); + + return min_dist; +} + +static gboolean +gimp_bezier_stroke_is_extendable (GimpStroke *stroke, + GimpAnchor *neighbor) +{ + GList *listneighbor; + gint loose_end; + + if (stroke->closed) + return FALSE; + + if (g_queue_is_empty (stroke->anchors)) + return TRUE; + + /* assure that there is a neighbor specified */ + g_return_val_if_fail (neighbor != NULL, FALSE); + + loose_end = 0; + listneighbor = stroke->anchors->tail; + + /* Check if the neighbor is at an end of the control points */ + if (listneighbor->data == neighbor) + { + loose_end = 1; + } + else + { + listneighbor = g_list_first (stroke->anchors->head); + + if (listneighbor->data == neighbor) + { + loose_end = -1; + } + else + { + /* + * It isn't. If we are on a handle go to the nearest + * anchor and see if we can find an end from it. + * Yes, this is tedious. + */ + + listneighbor = g_queue_find (stroke->anchors, neighbor); + + if (listneighbor && neighbor->type == GIMP_ANCHOR_CONTROL) + { + if (listneighbor->prev && + GIMP_ANCHOR (listneighbor->prev->data)->type == GIMP_ANCHOR_ANCHOR) + { + listneighbor = listneighbor->prev; + } + else if (listneighbor->next && + GIMP_ANCHOR (listneighbor->next->data)->type == GIMP_ANCHOR_ANCHOR) + { + listneighbor = listneighbor->next; + } + else + { + loose_end = 0; + listneighbor = NULL; + } + } + + if (listneighbor) + /* we found a suitable ANCHOR_ANCHOR now, lets + * search for its loose end. + */ + { + if (listneighbor->prev && + listneighbor->prev->prev == NULL) + { + loose_end = -1; + } + else if (listneighbor->next && + listneighbor->next->next == NULL) + { + loose_end = 1; + } + } + } + } + + return (loose_end != 0); +} + +GimpAnchor * +gimp_bezier_stroke_extend (GimpStroke *stroke, + const GimpCoords *coords, + GimpAnchor *neighbor, + GimpVectorExtendMode extend_mode) +{ + GimpAnchor *anchor = NULL; + GList *listneighbor; + gint loose_end, control_count; + + if (g_queue_is_empty (stroke->anchors)) + { + /* assure that there is no neighbor specified */ + g_return_val_if_fail (neighbor == NULL, NULL); + + anchor = gimp_anchor_new (GIMP_ANCHOR_CONTROL, coords); + + g_queue_push_tail (stroke->anchors, anchor); + + switch (extend_mode) + { + case EXTEND_SIMPLE: + break; + + case EXTEND_EDITABLE: + anchor = gimp_bezier_stroke_extend (stroke, + coords, anchor, + EXTEND_SIMPLE); + + /* we return the GIMP_ANCHOR_ANCHOR */ + gimp_bezier_stroke_extend (stroke, + coords, anchor, + EXTEND_SIMPLE); + + break; + + default: + anchor = NULL; + } + + return anchor; + } + else + { + /* assure that there is a neighbor specified */ + g_return_val_if_fail (neighbor != NULL, NULL); + + loose_end = 0; + listneighbor = stroke->anchors->tail; + + /* Check if the neighbor is at an end of the control points */ + if (listneighbor->data == neighbor) + { + loose_end = 1; + } + else + { + listneighbor = stroke->anchors->head; + + if (listneighbor->data == neighbor) + { + loose_end = -1; + } + else + { + /* + * It isn't. If we are on a handle go to the nearest + * anchor and see if we can find an end from it. + * Yes, this is tedious. + */ + + listneighbor = g_queue_find (stroke->anchors, neighbor); + + if (listneighbor && neighbor->type == GIMP_ANCHOR_CONTROL) + { + if (listneighbor->prev && + GIMP_ANCHOR (listneighbor->prev->data)->type == GIMP_ANCHOR_ANCHOR) + { + listneighbor = listneighbor->prev; + } + else if (listneighbor->next && + GIMP_ANCHOR (listneighbor->next->data)->type == GIMP_ANCHOR_ANCHOR) + { + listneighbor = listneighbor->next; + } + else + { + loose_end = 0; + listneighbor = NULL; + } + } + + if (listneighbor) + /* we found a suitable ANCHOR_ANCHOR now, lets + * search for its loose end. + */ + { + if (listneighbor->next && + listneighbor->next->next == NULL) + { + loose_end = 1; + listneighbor = listneighbor->next; + } + else if (listneighbor->prev && + listneighbor->prev->prev == NULL) + { + loose_end = -1; + listneighbor = listneighbor->prev; + } + } + } + } + + if (loose_end) + { + GimpAnchorType type; + + /* We have to detect the type of the point to add... */ + + control_count = 0; + + if (loose_end == 1) + { + while (listneighbor && + GIMP_ANCHOR (listneighbor->data)->type == GIMP_ANCHOR_CONTROL) + { + control_count++; + listneighbor = listneighbor->prev; + } + } + else + { + while (listneighbor && + GIMP_ANCHOR (listneighbor->data)->type == GIMP_ANCHOR_CONTROL) + { + control_count++; + listneighbor = listneighbor->next; + } + } + + switch (extend_mode) + { + case EXTEND_SIMPLE: + switch (control_count) + { + case 0: + type = GIMP_ANCHOR_CONTROL; + break; + case 1: + if (listneighbor) /* only one handle in the path? */ + type = GIMP_ANCHOR_CONTROL; + else + type = GIMP_ANCHOR_ANCHOR; + break; + case 2: + type = GIMP_ANCHOR_ANCHOR; + break; + default: + g_warning ("inconsistent bezier curve: " + "%d successive control handles", control_count); + type = GIMP_ANCHOR_ANCHOR; + } + + anchor = gimp_anchor_new (type, coords); + + if (loose_end == 1) + g_queue_push_tail (stroke->anchors, anchor); + + if (loose_end == -1) + g_queue_push_head (stroke->anchors, anchor); + break; + + case EXTEND_EDITABLE: + switch (control_count) + { + case 0: + neighbor = gimp_bezier_stroke_extend (stroke, + &(neighbor->position), + neighbor, + EXTEND_SIMPLE); + case 1: + neighbor = gimp_bezier_stroke_extend (stroke, + coords, + neighbor, + EXTEND_SIMPLE); + case 2: + anchor = gimp_bezier_stroke_extend (stroke, + coords, + neighbor, + EXTEND_SIMPLE); + + neighbor = gimp_bezier_stroke_extend (stroke, + coords, + anchor, + EXTEND_SIMPLE); + break; + default: + g_warning ("inconsistent bezier curve: " + "%d successive control handles", control_count); + } + } + + return anchor; + } + + return NULL; + } +} + +static gboolean +gimp_bezier_stroke_connect_stroke (GimpStroke *stroke, + GimpAnchor *anchor, + GimpStroke *extension, + GimpAnchor *neighbor) +{ + GList *list1; + GList *list2; + + list1 = g_queue_find (stroke->anchors, anchor); + list1 = gimp_bezier_stroke_get_anchor_listitem (list1); + list2 = g_queue_find (extension->anchors, neighbor); + list2 = gimp_bezier_stroke_get_anchor_listitem (list2); + + g_return_val_if_fail (list1 != NULL && list2 != NULL, FALSE); + + if (stroke == extension) + { + g_return_val_if_fail ((list1->prev && list1->prev->prev == NULL && + list2->next && list2->next->next == NULL) || + (list1->next && list1->next->next == NULL && + list2->prev && list2->prev->prev == NULL), FALSE); + gimp_stroke_close (stroke); + return TRUE; + } + + if (list1->prev && list1->prev->prev == NULL) + { + g_queue_reverse (stroke->anchors); + } + + g_return_val_if_fail (list1->next && list1->next->next == NULL, FALSE); + + if (list2->next && list2->next->next == NULL) + { + g_queue_reverse (extension->anchors); + } + + g_return_val_if_fail (list2->prev && list2->prev->prev == NULL, FALSE); + + for (list1 = extension->anchors->head; list1; list1 = g_list_next (list1)) + g_queue_push_tail (stroke->anchors, list1->data); + + g_queue_clear (extension->anchors); + + return TRUE; +} + + +static void +gimp_bezier_stroke_anchor_move_relative (GimpStroke *stroke, + GimpAnchor *anchor, + const GimpCoords *deltacoord, + GimpAnchorFeatureType feature) +{ + GimpCoords delta, coord1, coord2; + GList *anchor_list; + + delta = *deltacoord; + delta.pressure = 0; + delta.xtilt = 0; + delta.ytilt = 0; + delta.wheel = 0; + + gimp_coords_add (&(anchor->position), &delta, &coord1); + anchor->position = coord1; + + anchor_list = g_queue_find (stroke->anchors, anchor); + g_return_if_fail (anchor_list != NULL); + + if (anchor->type == GIMP_ANCHOR_ANCHOR) + { + if (g_list_previous (anchor_list)) + { + coord2 = GIMP_ANCHOR (g_list_previous (anchor_list)->data)->position; + gimp_coords_add (&coord2, &delta, &coord1); + GIMP_ANCHOR (g_list_previous (anchor_list)->data)->position = coord1; + } + + if (g_list_next (anchor_list)) + { + coord2 = GIMP_ANCHOR (g_list_next (anchor_list)->data)->position; + gimp_coords_add (&coord2, &delta, &coord1); + GIMP_ANCHOR (g_list_next (anchor_list)->data)->position = coord1; + } + } + else + { + if (feature == GIMP_ANCHOR_FEATURE_SYMMETRIC) + { + GList *neighbour = NULL, *opposite = NULL; + + /* search for opposite control point. Sigh. */ + neighbour = g_list_previous (anchor_list); + if (neighbour && + GIMP_ANCHOR (neighbour->data)->type == GIMP_ANCHOR_ANCHOR) + { + opposite = g_list_previous (neighbour); + } + else + { + neighbour = g_list_next (anchor_list); + if (neighbour && + GIMP_ANCHOR (neighbour->data)->type == GIMP_ANCHOR_ANCHOR) + { + opposite = g_list_next (neighbour); + } + } + if (opposite && + GIMP_ANCHOR (opposite->data)->type == GIMP_ANCHOR_CONTROL) + { + gimp_coords_difference (&(GIMP_ANCHOR (neighbour->data)->position), + &(anchor->position), &delta); + gimp_coords_add (&(GIMP_ANCHOR (neighbour->data)->position), + &delta, &coord1); + GIMP_ANCHOR (opposite->data)->position = coord1; + } + } + } +} + + +static void +gimp_bezier_stroke_anchor_move_absolute (GimpStroke *stroke, + GimpAnchor *anchor, + const GimpCoords *coord, + GimpAnchorFeatureType feature) +{ + GimpCoords deltacoord; + + gimp_coords_difference (coord, &anchor->position, &deltacoord); + gimp_bezier_stroke_anchor_move_relative (stroke, anchor, + &deltacoord, feature); +} + +static void +gimp_bezier_stroke_anchor_convert (GimpStroke *stroke, + GimpAnchor *anchor, + GimpAnchorFeatureType feature) +{ + GList *anchor_list; + + anchor_list = g_queue_find (stroke->anchors, anchor); + + g_return_if_fail (anchor_list != NULL); + + switch (feature) + { + case GIMP_ANCHOR_FEATURE_EDGE: + if (anchor->type == GIMP_ANCHOR_ANCHOR) + { + if (g_list_previous (anchor_list)) + GIMP_ANCHOR (g_list_previous (anchor_list)->data)->position = + anchor->position; + + if (g_list_next (anchor_list)) + GIMP_ANCHOR (g_list_next (anchor_list)->data)->position = + anchor->position; + } + else + { + if (g_list_previous (anchor_list) && + GIMP_ANCHOR (g_list_previous (anchor_list)->data)->type == GIMP_ANCHOR_ANCHOR) + anchor->position = GIMP_ANCHOR (g_list_previous (anchor_list)->data)->position; + if (g_list_next (anchor_list) && + GIMP_ANCHOR (g_list_next (anchor_list)->data)->type == GIMP_ANCHOR_ANCHOR) + anchor->position = GIMP_ANCHOR (g_list_next (anchor_list)->data)->position; + } + + break; + + default: + g_warning ("gimp_bezier_stroke_anchor_convert: " + "unimplemented anchor conversion %d\n", feature); + } +} + + +static GimpBezierDesc * +gimp_bezier_stroke_make_bezier (GimpStroke *stroke) +{ + GArray *points; + GArray *cmd_array; + GimpBezierDesc *bezdesc; + cairo_path_data_t pathdata; + gint num_cmds, i; + + points = gimp_stroke_control_points_get (stroke, NULL); + + g_return_val_if_fail (points && points->len % 3 == 0, NULL); + if (points->len < 3) + return NULL; + + /* Moveto + (n-1) * curveto + (if closed) curveto + closepath */ + num_cmds = 2 + (points->len / 3 - 1) * 4; + if (stroke->closed) + num_cmds += 1 + 4; + + cmd_array = g_array_sized_new (FALSE, FALSE, + sizeof (cairo_path_data_t), + num_cmds); + + pathdata.header.type = CAIRO_PATH_MOVE_TO; + pathdata.header.length = 2; + g_array_append_val (cmd_array, pathdata); + pathdata.point.x = g_array_index (points, GimpAnchor, 1).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, 1).position.y; + g_array_append_val (cmd_array, pathdata); + + for (i = 2; i+2 < points->len; i += 3) + { + pathdata.header.type = CAIRO_PATH_CURVE_TO; + pathdata.header.length = 4; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, i).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, i).position.y; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, i+1).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, i+1).position.y; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, i+2).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, i+2).position.y; + g_array_append_val (cmd_array, pathdata); + } + + if (stroke->closed) + { + pathdata.header.type = CAIRO_PATH_CURVE_TO; + pathdata.header.length = 4; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, i).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, i).position.y; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, 0).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, 0).position.y; + g_array_append_val (cmd_array, pathdata); + + pathdata.point.x = g_array_index (points, GimpAnchor, 1).position.x; + pathdata.point.y = g_array_index (points, GimpAnchor, 1).position.y; + g_array_append_val (cmd_array, pathdata); + + pathdata.header.type = CAIRO_PATH_CLOSE_PATH; + pathdata.header.length = 1; + g_array_append_val (cmd_array, pathdata); + } + + if (cmd_array->len != num_cmds) + g_printerr ("miscalculated path cmd length! (%d vs. %d)\n", + cmd_array->len, num_cmds); + + bezdesc = gimp_bezier_desc_new ((cairo_path_data_t *) cmd_array->data, + cmd_array->len); + g_array_free (points, TRUE); + g_array_free (cmd_array, FALSE); + + return bezdesc; +} + + +static GArray * +gimp_bezier_stroke_interpolate (GimpStroke *stroke, + gdouble precision, + gboolean *ret_closed) +{ + GArray *ret_coords; + GimpAnchor *anchor; + GList *anchorlist; + GimpCoords segmentcoords[4]; + gint count; + gboolean need_endpoint = FALSE; + + if (g_queue_is_empty (stroke->anchors)) + { + if (ret_closed) + *ret_closed = FALSE; + return NULL; + } + + ret_coords = g_array_new (FALSE, FALSE, sizeof (GimpCoords)); + + count = 0; + + for (anchorlist = stroke->anchors->head; + anchorlist && GIMP_ANCHOR (anchorlist->data)->type != GIMP_ANCHOR_ANCHOR; + anchorlist = g_list_next (anchorlist)); + + for ( ; anchorlist; anchorlist = g_list_next (anchorlist)) + { + anchor = anchorlist->data; + + segmentcoords[count] = anchor->position; + count++; + + if (count == 4) + { + gimp_coords_interpolate_bezier (segmentcoords, precision, + ret_coords, NULL); + segmentcoords[0] = segmentcoords[3]; + count = 1; + need_endpoint = TRUE; + } + } + + if (stroke->closed && ! g_queue_is_empty (stroke->anchors)) + { + anchorlist = stroke->anchors->head; + + while (count < 3) + { + segmentcoords[count] = GIMP_ANCHOR (anchorlist->data)->position; + count++; + } + anchorlist = g_list_next (anchorlist); + if (anchorlist) + segmentcoords[3] = GIMP_ANCHOR (anchorlist->data)->position; + + gimp_coords_interpolate_bezier (segmentcoords, precision, + ret_coords, NULL); + need_endpoint = TRUE; + + } + + if (need_endpoint) + ret_coords = g_array_append_val (ret_coords, segmentcoords[3]); + + if (ret_closed) + *ret_closed = stroke->closed; + + if (ret_coords->len == 0) + { + g_array_free (ret_coords, TRUE); + ret_coords = NULL; + } + + return ret_coords; +} + + +static void +gimp_bezier_stroke_transform (GimpStroke *stroke, + const GimpMatrix3 *matrix, + GQueue *ret_strokes) +{ + GimpStroke *first_stroke = NULL; + GimpStroke *last_stroke = NULL; + GList *anchorlist; + GimpAnchor *anchor; + GimpCoords segmentcoords[4]; + GQueue *transformed[2]; + gint n_transformed; + gint count; + gboolean first; + gboolean last; + + /* if there's no need for clipping, use the default implementation */ + if (! ret_strokes || + gimp_matrix3_is_affine (matrix) || + g_queue_is_empty (stroke->anchors)) + { + GIMP_STROKE_CLASS (parent_class)->transform (stroke, matrix, ret_strokes); + + return; + } + + /* transform the individual segments */ + count = 0; + first = TRUE; + last = FALSE; + + /* find the first non-control anchor */ + for (anchorlist = stroke->anchors->head; + anchorlist && GIMP_ANCHOR (anchorlist->data)->type != GIMP_ANCHOR_ANCHOR; + anchorlist = g_list_next (anchorlist)); + + for ( ; anchorlist || stroke->closed; anchorlist = g_list_next (anchorlist)) + { + /* wrap around if 'stroke' is closed, so that we transform the final + * segment + */ + if (! anchorlist) + { + anchorlist = stroke->anchors->head; + last = TRUE; + } + + anchor = anchorlist->data; + + segmentcoords[count] = anchor->position; + count++; + + if (count == 4) + { + gboolean start_in; + gboolean end_in; + gint i; + + gimp_transform_bezier_coords (matrix, segmentcoords, + transformed, &n_transformed, + &start_in, &end_in); + + for (i = 0; i < n_transformed; i++) + { + GimpStroke *s = NULL; + GList *list; + gint j; + + if (i == 0 && start_in) + { + /* current stroke is connected to last stroke */ + s = last_stroke; + } + else if (last_stroke) + { + /* current stroke is not connected to last stroke. finalize + * last stroke. + */ + anchor = g_queue_peek_tail (last_stroke->anchors); + + g_queue_push_tail (last_stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + &anchor->position)); + } + + for (list = transformed[i]->head; list; list = g_list_next (list)) + { + GimpCoords *transformedcoords = list->data; + + if (! s) + { + /* start a new stroke */ + s = gimp_bezier_stroke_new (); + + g_queue_push_tail (s->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + &transformedcoords[0])); + + g_queue_push_tail (ret_strokes, s); + + j = 0; + } + else + { + /* continue an existing stroke, skipping the first anchor, + * which is the same as the last anchor of the last stroke + */ + j = 1; + } + + for (; j < 4; j++) + { + GimpAnchorType type; + + if (j == 0 || j == 3) + type = GIMP_ANCHOR_ANCHOR; + else + type = GIMP_ANCHOR_CONTROL; + + g_queue_push_tail (s->anchors, + gimp_anchor_new (type, + &transformedcoords[j])); + } + + g_free (transformedcoords); + } + + g_queue_free (transformed[i]); + + /* if the current stroke is an initial segment of 'stroke', + * remember it, so that we can possibly connect it to the last + * stroke later. + */ + if (i == 0 && start_in && first) + first_stroke = s; + + last_stroke = s; + first = FALSE; + } + + if (! end_in && last_stroke) + { + /* the next stroke is not connected to the last stroke. finalize + * the last stroke. + */ + anchor = g_queue_peek_tail (last_stroke->anchors); + + g_queue_push_tail (last_stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + &anchor->position)); + + last_stroke = NULL; + } + + if (last) + break; + + segmentcoords[0] = segmentcoords[3]; + count = 1; + } + } + + /* if the last stroke is a final segment of 'stroke'... */ + if (last_stroke) + { + /* ... and the first stroke is an initial segment of 'stroke', and + * 'stroke' is closed ... + */ + if (first_stroke && stroke->closed) + { + /* connect the first and last strokes */ + + /* remove the first anchor, which is a synthetic control point */ + gimp_anchor_free (g_queue_pop_head (first_stroke->anchors)); + /* remove the last anchor, which is the same anchor point as the + * first anchor + */ + gimp_anchor_free (g_queue_pop_tail (last_stroke->anchors)); + + if (first_stroke == last_stroke) + { + /* the result is a single stroke. move the last anchor, which is + * an orphan control point, to the front, to fill in the removed + * control point of the first anchor, and close the stroke. + */ + g_queue_push_head (first_stroke->anchors, + g_queue_pop_tail (first_stroke->anchors)); + + first_stroke->closed = TRUE; + } + else + { + /* the result is multiple strokes. prepend the last stroke to + * the first stroke, and discard it. + */ + while ((anchor = g_queue_pop_tail (last_stroke->anchors))) + g_queue_push_head (first_stroke->anchors, anchor); + + g_object_unref (g_queue_pop_tail (ret_strokes)); + } + } + else + { + /* otherwise, the first and last strokes are not connected. finalize + * the last stroke. + */ + anchor = g_queue_peek_tail (last_stroke->anchors); + + g_queue_push_tail (last_stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + &anchor->position)); + } + } +} + + +GimpStroke * +gimp_bezier_stroke_new_moveto (const GimpCoords *start) +{ + GimpStroke *stroke = gimp_bezier_stroke_new (); + + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + start)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_ANCHOR, + start)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + start)); + return stroke; +} + +void +gimp_bezier_stroke_lineto (GimpStroke *stroke, + const GimpCoords *end) +{ + g_return_if_fail (GIMP_IS_BEZIER_STROKE (stroke)); + g_return_if_fail (stroke->closed == FALSE); + g_return_if_fail (g_queue_is_empty (stroke->anchors) == FALSE); + + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + end)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_ANCHOR, + end)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + end)); +} + +void +gimp_bezier_stroke_conicto (GimpStroke *stroke, + const GimpCoords *control, + const GimpCoords *end) +{ + GimpCoords start, coords; + + g_return_if_fail (GIMP_IS_BEZIER_STROKE (stroke)); + g_return_if_fail (stroke->closed == FALSE); + g_return_if_fail (g_queue_get_length (stroke->anchors) > 1); + + start = GIMP_ANCHOR (stroke->anchors->tail->prev->data)->position; + + gimp_coords_mix (2.0 / 3.0, control, 1.0 / 3.0, &start, &coords); + + GIMP_ANCHOR (stroke->anchors->tail->data)->position = coords; + + gimp_coords_mix (2.0 / 3.0, control, 1.0 / 3.0, end, &coords); + + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + &coords)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_ANCHOR, + end)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + end)); +} + +void +gimp_bezier_stroke_cubicto (GimpStroke *stroke, + const GimpCoords *control1, + const GimpCoords *control2, + const GimpCoords *end) +{ + g_return_if_fail (GIMP_IS_BEZIER_STROKE (stroke)); + g_return_if_fail (stroke->closed == FALSE); + g_return_if_fail (g_queue_is_empty (stroke->anchors) == FALSE); + + GIMP_ANCHOR (stroke->anchors->tail->data)->position = *control1; + + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + control2)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_ANCHOR, + end)); + g_queue_push_tail (stroke->anchors, + gimp_anchor_new (GIMP_ANCHOR_CONTROL, + end)); +} + +static gdouble +arcto_circleparam (gdouble h, + gdouble *y) +{ + gdouble t0 = 0.5; + gdouble dt = 0.25; + gdouble pt0; + gdouble y01, y12, y23, y012, y123, y0123; /* subdividing y[] */ + + while (dt >= 0.00001) + { + pt0 = ( y[0] * (1-t0) * (1-t0) * (1-t0) + + 3 * y[1] * (1-t0) * (1-t0) * t0 + + 3 * y[2] * (1-t0) * t0 * t0 + + y[3] * t0 * t0 * t0 ); + + if (pt0 > h) + t0 = t0 - dt; + else if (pt0 < h) + t0 = t0 + dt; + else + break; + dt = dt/2; + } + + y01 = y[0] * (1-t0) + y[1] * t0; + y12 = y[1] * (1-t0) + y[2] * t0; + y23 = y[2] * (1-t0) + y[3] * t0; + y012 = y01 * (1-t0) + y12 * t0; + y123 = y12 * (1-t0) + y23 * t0; + y0123 = y012 * (1-t0) + y123 * t0; + + y[0] = y0123; y[1] = y123; y[2] = y23; /* y[3] unchanged */ + + return t0; +} + +static void +arcto_subdivide (gdouble t, + gint part, + GimpCoords *p) +{ + GimpCoords p01, p12, p23, p012, p123, p0123; + + gimp_coords_mix (1-t, &(p[0]), t, &(p[1]), &p01 ); + gimp_coords_mix (1-t, &(p[1]), t, &(p[2]), &p12 ); + gimp_coords_mix (1-t, &(p[2]), t, &(p[3]), &p23 ); + gimp_coords_mix (1-t, &p01 , t, &p12 , &p012 ); + gimp_coords_mix (1-t, &p12 , t, &p23 , &p123 ); + gimp_coords_mix (1-t, &p012 , t, &p123 , &p0123); + + if (part == 0) + { + /* p[0] unchanged */ + p[1] = p01; + p[2] = p012; + p[3] = p0123; + } + else + { + p[0] = p0123; + p[1] = p123; + p[2] = p23; + /* p[3] unchanged */ + } +} + +static void +arcto_ellipsesegment (gdouble radius_x, + gdouble radius_y, + gdouble phi0, + gdouble phi1, + GimpCoords *ellips) +{ + const GimpCoords template = GIMP_COORDS_DEFAULT_VALUES; + const gdouble circlemagic = 4.0 * (G_SQRT2 - 1.0) / 3.0; + + gdouble phi_s, phi_e; + gdouble y[4]; + gdouble h0, h1; + gdouble t0, t1; + + g_return_if_fail (ellips != NULL); + + y[0] = 0.0; + y[1] = circlemagic; + y[2] = 1.0; + y[3] = 1.0; + + ellips[0] = template; + ellips[1] = template; + ellips[2] = template; + ellips[3] = template; + + if (phi0 < phi1) + { + phi_s = floor (phi0 / G_PI_2) * G_PI_2; + while (phi_s < 0) phi_s += 2 * G_PI; + phi_e = phi_s + G_PI_2; + } + else + { + phi_e = floor (phi1 / G_PI_2) * G_PI_2; + while (phi_e < 0) phi_e += 2 * G_PI; + phi_s = phi_e + G_PI_2; + } + + h0 = sin (fabs (phi0-phi_s)); + h1 = sin (fabs (phi1-phi_s)); + + ellips[0].x = cos (phi_s); ellips[0].y = sin (phi_s); + ellips[3].x = cos (phi_e); ellips[3].y = sin (phi_e); + + gimp_coords_mix (1, &(ellips[0]), circlemagic, &(ellips[3]), &(ellips[1])); + gimp_coords_mix (circlemagic, &(ellips[0]), 1, &(ellips[3]), &(ellips[2])); + + if (h0 > y[0]) + { + t0 = arcto_circleparam (h0, y); /* also subdivides y[] at t0 */ + arcto_subdivide (t0, 1, ellips); + } + + if (h1 < y[3]) + { + t1 = arcto_circleparam (h1, y); + arcto_subdivide (t1, 0, ellips); + } + + ellips[0].x *= radius_x ; ellips[0].y *= radius_y; + ellips[1].x *= radius_x ; ellips[1].y *= radius_y; + ellips[2].x *= radius_x ; ellips[2].y *= radius_y; + ellips[3].x *= radius_x ; ellips[3].y *= radius_y; +} + +void +gimp_bezier_stroke_arcto (GimpStroke *bez_stroke, + gdouble radius_x, + gdouble radius_y, + gdouble angle_rad, + gboolean large_arc, + gboolean sweep, + const GimpCoords *end) +{ + GimpCoords start; + GimpCoords middle; /* between start and end */ + GimpCoords trans_delta; + GimpCoords trans_center; + GimpCoords tmp_center; + GimpCoords center; + GimpCoords ellips[4]; /* control points of untransformed ellipse segment */ + GimpCoords ctrl[4]; /* control points of next bezier segment */ + + GimpMatrix3 anglerot; + + gdouble lambda; + gdouble phi0, phi1, phi2; + gdouble tmpx, tmpy; + + g_return_if_fail (GIMP_IS_BEZIER_STROKE (bez_stroke)); + g_return_if_fail (bez_stroke->closed == FALSE); + g_return_if_fail (g_queue_get_length (bez_stroke->anchors) > 1); + + if (radius_x == 0 || radius_y == 0) + { + gimp_bezier_stroke_lineto (bez_stroke, end); + return; + } + + start = GIMP_ANCHOR (bez_stroke->anchors->tail->prev->data)->position; + + gimp_matrix3_identity (&anglerot); + gimp_matrix3_rotate (&anglerot, -angle_rad); + + gimp_coords_mix (0.5, &start, -0.5, end, &trans_delta); + gimp_matrix3_transform_point (&anglerot, + trans_delta.x, trans_delta.y, + &tmpx, &tmpy); + trans_delta.x = tmpx; + trans_delta.y = tmpy; + + lambda = (SQR (trans_delta.x) / SQR (radius_x) + + SQR (trans_delta.y) / SQR (radius_y)); + + if (lambda < 0.00001) + { + /* don't bother with it - endpoint is too close to startpoint */ + return; + } + + trans_center = trans_delta; + + if (lambda > 1.0) + { + /* The radii are too small for a matching ellipse. We expand them + * so that they fit exactly (center of the ellipse between the + * start- and endpoint + */ + radius_x *= sqrt (lambda); + radius_y *= sqrt (lambda); + trans_center.x = 0.0; + trans_center.y = 0.0; + } + else + { + gdouble factor = sqrt ((1.0 - lambda) / lambda); + + trans_center.x = trans_delta.y * radius_x / radius_y * factor; + trans_center.y = - trans_delta.x * radius_y / radius_x * factor; + } + + if ((large_arc && sweep) || (!large_arc && !sweep)) + { + trans_center.x *= -1; + trans_center.y *= -1; + } + + gimp_matrix3_identity (&anglerot); + gimp_matrix3_rotate (&anglerot, angle_rad); + + tmp_center = trans_center; + gimp_matrix3_transform_point (&anglerot, + tmp_center.x, tmp_center.y, + &tmpx, &tmpy); + tmp_center.x = tmpx; + tmp_center.y = tmpy; + + gimp_coords_mix (0.5, &start, 0.5, end, &middle); + gimp_coords_add (&tmp_center, &middle, ¢er); + + phi1 = atan2 ((trans_delta.y - trans_center.y) / radius_y, + (trans_delta.x - trans_center.x) / radius_x); + + phi2 = atan2 ((- trans_delta.y - trans_center.y) / radius_y, + (- trans_delta.x - trans_center.x) / radius_x); + + if (phi1 < 0) + phi1 += 2 * G_PI; + + if (phi2 < 0) + phi2 += 2 * G_PI; + + if (sweep) + { + while (phi2 < phi1) + phi2 += 2 * G_PI; + + phi0 = floor (phi1 / G_PI_2) * G_PI_2; + + while (phi0 < phi2) + { + arcto_ellipsesegment (radius_x, radius_y, + MAX (phi0, phi1), MIN (phi0 + G_PI_2, phi2), + ellips); + + gimp_matrix3_transform_point (&anglerot, ellips[0].x, ellips[0].y, + &tmpx, &tmpy); + ellips[0].x = tmpx; ellips[0].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[1].x, ellips[1].y, + &tmpx, &tmpy); + ellips[1].x = tmpx; ellips[1].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[2].x, ellips[2].y, + &tmpx, &tmpy); + ellips[2].x = tmpx; ellips[2].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[3].x, ellips[3].y, + &tmpx, &tmpy); + ellips[3].x = tmpx; ellips[3].y = tmpy; + + gimp_coords_add (¢er, &(ellips[1]), &(ctrl[1])); + gimp_coords_add (¢er, &(ellips[2]), &(ctrl[2])); + gimp_coords_add (¢er, &(ellips[3]), &(ctrl[3])); + + gimp_bezier_stroke_cubicto (bez_stroke, + &(ctrl[1]), &(ctrl[2]), &(ctrl[3])); + phi0 += G_PI_2; + } + } + else + { + while (phi1 < phi2) + phi1 += 2 * G_PI; + + phi0 = ceil (phi1 / G_PI_2) * G_PI_2; + + while (phi0 > phi2) + { + arcto_ellipsesegment (radius_x, radius_y, + MIN (phi0, phi1), MAX (phi0 - G_PI_2, phi2), + ellips); + + gimp_matrix3_transform_point (&anglerot, ellips[0].x, ellips[0].y, + &tmpx, &tmpy); + ellips[0].x = tmpx; ellips[0].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[1].x, ellips[1].y, + &tmpx, &tmpy); + ellips[1].x = tmpx; ellips[1].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[2].x, ellips[2].y, + &tmpx, &tmpy); + ellips[2].x = tmpx; ellips[2].y = tmpy; + gimp_matrix3_transform_point (&anglerot, ellips[3].x, ellips[3].y, + &tmpx, &tmpy); + ellips[3].x = tmpx; ellips[3].y = tmpy; + + gimp_coords_add (¢er, &(ellips[1]), &(ctrl[1])); + gimp_coords_add (¢er, &(ellips[2]), &(ctrl[2])); + gimp_coords_add (¢er, &(ellips[3]), &(ctrl[3])); + + gimp_bezier_stroke_cubicto (bez_stroke, + &(ctrl[1]), &(ctrl[2]), &(ctrl[3])); + phi0 -= G_PI_2; + } + } +} + +GimpStroke * +gimp_bezier_stroke_new_ellipse (const GimpCoords *center, + gdouble radius_x, + gdouble radius_y, + gdouble angle) +{ + GimpStroke *stroke; + GimpCoords p1 = *center; + GimpCoords p2 = *center; + GimpCoords p3 = *center; + GimpCoords dx = { 0, }; + GimpCoords dy = { 0, }; + const gdouble circlemagic = 4.0 * (G_SQRT2 - 1.0) / 3.0; + GimpAnchor *handle; + + dx.x = radius_x * cos (angle); + dx.y = - radius_x * sin (angle); + dy.x = radius_y * sin (angle); + dy.y = radius_y * cos (angle); + + gimp_coords_mix (1.0, center, 1.0, &dx, &p1); + stroke = gimp_bezier_stroke_new_moveto (&p1); + + handle = g_queue_peek_head (stroke->anchors); + gimp_coords_mix (1.0, &p1, -circlemagic, &dy, &handle->position); + + gimp_coords_mix (1.0, &p1, circlemagic, &dy, &p1); + gimp_coords_mix (1.0, center, 1.0, &dy, &p3); + gimp_coords_mix (1.0, &p3, circlemagic, &dx, &p2); + gimp_bezier_stroke_cubicto (stroke, &p1, &p2, &p3); + + gimp_coords_mix (1.0, &p3, -circlemagic, &dx, &p1); + gimp_coords_mix (1.0, center, -1.0, &dx, &p3); + gimp_coords_mix (1.0, &p3, circlemagic, &dy, &p2); + gimp_bezier_stroke_cubicto (stroke, &p1, &p2, &p3); + + gimp_coords_mix (1.0, &p3, -circlemagic, &dy, &p1); + gimp_coords_mix (1.0, center, -1.0, &dy, &p3); + gimp_coords_mix (1.0, &p3, -circlemagic, &dx, &p2); + gimp_bezier_stroke_cubicto (stroke, &p1, &p2, &p3); + + handle = g_queue_peek_tail (stroke->anchors); + gimp_coords_mix (1.0, &p3, circlemagic, &dx, &handle->position); + + gimp_stroke_close (stroke); + + return stroke; +} + + +/* helper function to get the associated anchor of a listitem */ + +static GList * +gimp_bezier_stroke_get_anchor_listitem (GList *list) +{ + if (!list) + return NULL; + + if (GIMP_ANCHOR (list->data)->type == GIMP_ANCHOR_ANCHOR) + return list; + + if (list->prev && GIMP_ANCHOR (list->prev->data)->type == GIMP_ANCHOR_ANCHOR) + return list->prev; + + if (list->next && GIMP_ANCHOR (list->next->data)->type == GIMP_ANCHOR_ANCHOR) + return list->next; + + g_return_val_if_fail (/* bezier stroke inconsistent! */ FALSE, NULL); + + return NULL; +} |